1771616560 has 240 divisors, whose sum is σ = 5008554432. Its totient is φ = 580608000.

The previous prime is 1771616537. The next prime is 1771616569. The reversal of 1771616560 is 656161771.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (1771616569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11732485 + ... + 11732635.

Almost surely, 2^1771616560 is an apocalyptic number.

1771616560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1771616560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2504277216).

1771616560 is an abundant number, since it is smaller than the sum of its proper divisors (3236937872).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1771616560 is a wasteful number, since it uses less digits than its factorization.

1771616560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 40.

The square root of 1771616560 is about 42090.5756672441. The cubic root of 1771616560 is about 1210.0126492770.

The spelling of 1771616560 in words is "one billion, seven hundred seventy-one million, six hundred sixteen thousand, five hundred sixty".